SOLUTION: in parallelogram ABCD , each side measures 10 .If mA =45 , what is the area of the parallelogram?

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Question 1061662: in parallelogram ABCD , each side measures 10 .If mA =45 , what is the area of the parallelogram?
Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Find the height .
You know that the hypotenuse of a right triangle is and one leg is and the triangle is isosceles since the angle is 45.





So then,




Answer by ikleyn(52908)   (Show Source): You can put this solution on YOUR website!
.
The area of a parallelogram is A = , where "a" and "b" are the lengths of two adjacent sides
and is the angle between these sides.

In your case A = 10*10*sin(45°) = = .


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